Publication Type
Journal Article
Publication Date
1-2009
Abstract
A general dynamical cluster identification framework including both modeling and computation is developed.The earthquake declustering problem is studied to demonstrate how this framework applies.A stochastic model is proposed for earthquake occurrences that considers the sequence of occurrencesas composed of two parts: earthquake clusters and single earthquakes. We suggest that earthquake clusterscontain a “mother quake” and her “offspring.” Applying the filtering techniques, we use the solution offiltering equations as criteria for declustering. A procedure for calculating maximum likelihood estimations(MLE’s) and the most likely cluster sequence is also presented.
Keywords
earthquakes, filtering, Kushner–Stratonovich equations, marked point process, Zakai equations
Discipline
Geographic Information Sciences | Nature and Society Relations | Physical and Environmental Geography
Research Areas
Economic Theory
Publication
Bernoulli
Volume
15
Issue
2
ISSN
1350-7265
Identifier
10.3150/08-BEJ159
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Citation
WU, Zhengxiao.
A cluster identification framework illustrated by a filtering model for earthquake occurrences. (2009). Bernoulli. 15, (2),.
Available at: https://ink.library.smu.edu.sg/soe_research_all/18
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
http://doi.org./10.3150/08-BEJ159
Included in
Geographic Information Sciences Commons, Nature and Society Relations Commons, Physical and Environmental Geography Commons